A drug company is testing new toothpaste in 2 flavors, regular and cinnamon. In a sample of 193 people, 121 liked regular, 112 people liked cinnamon, and 46 liked both.
I prefer apple.
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To find out how many people liked either regular or cinnamon toothpaste, we need to subtract the number of people who liked both flavors from the total number of people who liked regular toothpaste or cinnamon toothpaste separately.
Let's break down the information provided:
- Number of people who liked regular toothpaste (121)
- Number of people who liked cinnamon toothpaste (112)
- Number of people who liked both regular and cinnamon toothpaste (46)
Now, let's find the number of people who liked either regular or cinnamon toothpaste by using the principle of Inclusion-Exclusion:
Step 1: Add the number of people who liked regular toothpaste and the number of people who liked cinnamon toothpaste: 121 + 112 = 233.
Step 2: Subtract the number of people who liked both flavors (46) from the total obtained in Step 1: 233 - 46 = 187.
Therefore, out of the total sample of 193 people, 187 people liked either regular or cinnamon toothpaste.